Whisk the flour, baking powder, and salt together in a large mixing bowl.
Add the fat and cut it into the flour with a pastry cutter or fork until the mixture looks like coarse, sandy crumbs.
Add the warm water a little at a time, mixing until a shaggy dough forms. If the dough still feels dry, add up to 15 grams more water.
Knead for 5 to 7 minutes until the dough is smooth and elastic.
Cover the bowl and let the dough rest for 30 minutes to 1 hour.
Divide the dough into 10 equal pieces, about 65 grams each. Shape each piece into a tight, smooth ball, cover, and let the balls rest for 10 minutes.
Preheat the waffle iron to a medium setting and butter both plates well.
Roll one dough ball on a lightly floured surface until it is just slightly smaller than your waffle iron, about 7 inches across for a 7 1/2 inch iron.
Whisk 1 to 2 eggs in a small bowl with a pinch of salt and pepper, then pour it onto the center of the bottom plate so it spreads into the grid.
Lay the rolled tortilla directly on top of the egg and close the lid right away.
Cook for 3 to 4 minutes, until the tortilla is golden and the egg is fully set.
Lift the egg tortilla out and lay it egg side up. Fill and roll it while it is still warm so it rolls without cracking.
Butter the plates again and repeat with the remaining dough balls and eggs, rolling the next tortilla while the previous one cooks.